Dept Banner
Dept Banner

Calendar

Download as iCal file

Topology/Geometry Seminar

"Ricci flow on manifolds with bounded Ricci curvature and almost maximal local rewinding volume"

Location:  Hill 525
Date & time: Tuesday, 27 September 2016 at 3:30AM -

Lina Chen, Capital Normal University, China

"Ricci flow on manifolds with bounded Ricci curvature and almost maximal local rewinding volume"

 
Abstract: Motivated by studying the quantitative volume space form rigidity conjecture: a closed \(n\)-manifold \(M\) with lower Ricci curvature bounded by \((n-1)H\) and almost maximal local rewinding volume is diffeomorphic to a \(H\)-space form. In this paper, we consider \(M\) with additional Ricci curvature upper bound by using Ricci flow method. We will show that the Ricci flow on \(M\) exists for a definite time and the \(L_p\) norm of the Ricci tensor is preserved by the flow. Using these results we have that \(M\) admits a metric with almost \(H\)-constant section curvature. And together with our earlier work in [CRX] , we prove that the above rigidity conjecture holds under additional Ricci curvature upper bound. Some ideas of the proofs come from [DWY].And it is a joint work with professor Xiaochun Rong and Shicheng Xu.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.

Contact Us

HillCenter small

Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530